Equilibirum solution to set of six differential equations

Dear All,

I'm a biologist and recently started mathematical modelling. I'm trying to find the equilibrium solutions to a set of six differential equations that represent a six-compartment model of infectious disease transmission. Although I can set this model up and run it, I'm interested in how I can solve for the unknown equilibirum prevalences in the model in terms of the known parameters (as this would be a useful way to describe aspects of the system). These are the equations: